649057190400 has 240 divisors, whose sum is σ = 2382356671200. Its totient is φ = 173081825280.

The previous prime is 649057190381. The next prime is 649057190401. The reversal of 649057190400 is 4091750946.

649057190400 is a `hidden beast` number, since 6 + 4 + 9 + 0 + 57 + 190 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (649057190401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593430 + ... + 1284629.

It is an arithmetic number, because the mean of its divisors is an integer number (9926486130).

Almost surely, 2^649057190400 is an apocalyptic number.

649057190400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

649057190400 is an abundant number, since it is smaller than the sum of its proper divisors (1733299480800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

649057190400 is a wasteful number, since it uses less digits than its factorization.

649057190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878096 (or 1878069 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 649057190400 in words is "six hundred forty-nine billion, fifty-seven million, one hundred ninety thousand, four hundred".